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Simplifying 6(x + -7) + 15(x + 9) = 0 Reorder the terms: 6(-7 + x) + 15(x + 9) = 0 (-7 * 6 + x * 6) + 15(x + 9) = 0 (-42 + 6x) + 15(x + 9) = 0 Reorder the terms: -42 + 6x + 15(9 + x) = 0 -42 + 6x + (9 * 15 + x * 15) = 0 -42 + 6x + (135 + 15x) = 0 Reorder the terms: -42 + 135 + 6x + 15x = 0 Combine like terms: -42 + 135 = 93 93 + 6x + 15x = 0 Combine like terms: 6x + 15x = 21x 93 + 21x = 0 Solving 93 + 21x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-93' to each side of the equation. 93 + -93 + 21x = 0 + -93 Combine like terms: 93 + -93 = 0 0 + 21x = 0 + -93 21x = 0 + -93 Combine like terms: 0 + -93 = -93 21x = -93 Divide each side by '21'. x = -4.428571429 Simplifying x = -4.428571429
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